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Finding the Fourth Proportional to 28,066.12, 42,076.98 and 10,534

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Solution

The fourth proportional to 28,066.12, 42,076.98 and 10,534 is: 15,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,066.12 : 42,076.98 = 10,534 : x
  2. Step 2: Convert to fraction form
    28,066.12/42,076.98 = 10,534/x
  3. Step 3: Cross multiply
    28,066.12x = 42,076.98 × 10,534
  4. Step 4: Simplify right side
    28,066.12x = 443,238,907.32
  5. Step 5: Solve for x
    x = 443,238,907.32/28,066.12
  6. Step 6: Final answer
    x = 15,792.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.